Report of the fit

Fit summary

Description: PV19 version x. Initial fit parameters from a previous fit with ceres on replica zero. Negative g2 as stating parameters, the chi2 of replica 0 without minimisation with this fitconfig file was 1.10947.
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Cut on the error function: 4
Parameterisation: PV19x
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2	N_1	\alpha	\sigma	\lambda	N_{1B}	\alpha_B	\sigma_B	g_{2B}
-0.005144	0.68535248	0.21943481	0.3329461	0.66627605	0.0387879	0.075758463	0.34845635	0.019224141

Theory summary

Collinear PDF set: MMHT2014nnlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: NNLLp
Initial parameters fluctuations: True
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 166
\chi_{0}^2 = 1.1092
\chi_{mean}^2 = 1.1253
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.1393 \pm 0.018
\langle E \rangle \pm \sigma_{E} = 2.124 \pm 0.1813

Parameters

Parameter	Central replica	Average over replicas	Fixed
g_2	-0.0053704255	-0.00704821 \pm 0.01063546	False
N_1	0.65700739	0.81060207 \pm 0.42482512	False
\alpha	0.2182943	0.22897105 \pm 0.02058738	False
\sigma	0.33326516	0.30438571 \pm 0.08461941	False
\lambda	0.65465646	0.65049177 \pm 0.08422013	False
N_{1B}	0.039906833	13.19571078 \pm 168.90703882	False
\alpha_B	0.075999739	0.08057839 \pm 0.02231829	False
\sigma_B	0.35204268	0.32460359 \pm 0.11180911	False
g_{2B}	0.018927351	0.01954714 \pm 0.00404642	False

Fit properties

Global $\chi^2$ distribution — Global \chi^2 distribution

$\alpha$ distribution — \alpha distribution

$\sigma$ distribution — \sigma distribution

$\lambda$ distribution — \lambda distribution

$N_{1B}$ distribution — N_{1B} distribution

$\alpha_B$ distribution — \alpha_B distribution

$\sigma_B$ distribution — \sigma_B distribution

$g_{2B}$ distribution — g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.5843	0.0	0.5844
E605_Q_8_9	8	1.442	0.0	1.442
E605_Q_10.5_11.5	10	0.4762	0.1764	0.6526
E288_200_Q_4_5	4	0.753	0.8187	1.5717
E288_200_Q_5_6	5	1.7704	0.2324	2.0028
E288_200_Q_6_7	6	0.4264	0.1135	0.5399
E288_200_Q_7_8	7	0.5599	0.0026	0.5626
E288_200_Q_8_9	8	0.5918	0.0447	0.6365
E288_300_Q_4_5	4	0.5943	0.4329	1.0271
E288_300_Q_5_6	5	0.9293	0.1086	1.0379
E288_300_Q_6_7	6	0.5751	0.0244	0.5995
E288_300_Q_7_8	7	0.1516	0.0132	0.1648
E288_300_Q_8_9	8	0.4665	0.0052	0.4717
E288_400_Q_5_6	5	0.3674	0.0	0.3674
E288_400_Q_6_7	6	0.1008	0.005	0.1058
E288_400_Q_7_8	7	0.0245	0.0246	0.0491
E288_400_Q_8_9	8	0.4599	0.0436	0.5035
E288_400_Q_11_12	11	0.4904	0.0503	0.5407
E288_400_Q_12_13	12	0.4861	0.0468	0.5329
E288_400_Q_13_14	12	0.5925	0.0915	0.684
STAR_510	7	0.9489	0.0421	0.991
CDF_RunI	25	0.5556	0.0727	0.6283
CDF_RunII	26	0.9155	0.0022	0.9177
D0_RunI	12	0.6224	0.0315	0.6539
D0_RunII	5	0.9459	0.0431	0.9891
D0_RunIImu	3	0.325	0.0491	0.3741
LHCb_7TeV	7	1.1697	0.1975	1.3671
LHCb_8TeV	7	0.5978	0.1649	0.7626
LHCb_13TeV	7	0.8714	0.0422	0.9136
CMS_7TeV	4	2.5211	0	2.5211
CMS_8TeV	4	1.285	0.1507	1.4357
ATLAS_7TeV_y_0_1	6	3.3163	0.0191	3.3354
ATLAS_7TeV_y_1_2	6	3.5971	0.5985	4.1956
ATLAS_7TeV_y_2_2.4	6	2.8794	0.2878	3.1672
ATLAS_8TeV_y_0_0.4	6	2.9918	0.7083	3.7001
ATLAS_8TeV_y_0.4_0.8	6	3.3963	0.6824	4.0787
ATLAS_8TeV_y_0.8_1.2	6	1.5652	0.1759	1.7411
ATLAS_8TeV_y_1.2_1.6	6	1.3454	0.2296	1.575
ATLAS_8TeV_y_1.6_2	6	0.8918	0.2905	1.1824
ATLAS_8TeV_y_2_2.4	6	0.8868	0.4127	1.2995
ATLAS_8TeV_Q_46_66	4	1.8007	0.5584	2.3591
ATLAS_8TeV_Q_116_150	8	0.6565	0.002	0.6585
Total	319	-	-	1.1092

Mean-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.7629	0.0777	0.8406
E605_Q_8_9	8	1.5305	0.0093	1.5398
E605_Q_10.5_11.5	10	0.3546	0.1622	0.5169
E288_200_Q_4_5	4	0.4285	0.247	0.6755
E288_200_Q_5_6	5	1.2808	0.1147	1.3955
E288_200_Q_6_7	6	0.3381	0.0694	0.4075
E288_200_Q_7_8	7	0.57	0.0076	0.5776
E288_200_Q_8_9	8	0.8081	0.017	0.8252
E288_300_Q_4_5	4	0.4409	0.0879	0.5289
E288_300_Q_5_6	5	0.7565	0.055	0.8114
E288_300_Q_6_7	6	0.5159	0.0234	0.5393
E288_300_Q_7_8	7	0.1467	0.0145	0.1611
E288_300_Q_8_9	8	0.392	0.01	0.402
E288_400_Q_5_6	5	0.5063	0.0144	0.5207
E288_400_Q_6_7	6	0.1144	0.0094	0.1238
E288_400_Q_7_8	7	0.0359	0.0185	0.0545
E288_400_Q_8_9	8	0.6179	0.0297	0.6477
E288_400_Q_11_12	11	0.7325	0.0677	0.8002
E288_400_Q_12_13	12	0.776	0.0509	0.8269
E288_400_Q_13_14	12	1.1021	0.0589	1.161
STAR_510	7	0.9636	0.075	1.0386
CDF_RunI	25	0.5218	0.0746	0.5964
CDF_RunII	26	0.9909	0.0	0.9909
D0_RunI	12	0.6515	0.0279	0.6794
D0_RunII	5	1.3618	0.0485	1.4103
D0_RunIImu	3	0.1155	0.018	0.1335
LHCb_7TeV	7	1.0434	0.2184	1.2618
LHCb_8TeV	7	0.5283	0.1704	0.6987
LHCb_13TeV	7	0.947	0.041	0.988
CMS_7TeV	4	2.5098	0	2.5098
CMS_8TeV	4	1.2751	0.1493	1.4244
ATLAS_7TeV_y_0_1	6	3.228	0.0201	3.2481
ATLAS_7TeV_y_1_2	6	3.5075	0.6001	4.1076
ATLAS_7TeV_y_2_2.4	6	2.9771	0.2997	3.2768
ATLAS_8TeV_y_0_0.4	6	2.9443	0.7127	3.6569
ATLAS_8TeV_y_0.4_0.8	6	3.315	0.6891	4.0041
ATLAS_8TeV_y_0.8_1.2	6	1.5297	0.1784	1.7081
ATLAS_8TeV_y_1.2_1.6	6	1.3111	0.2324	1.5435
ATLAS_8TeV_y_1.6_2	6	0.8455	0.2862	1.1317
ATLAS_8TeV_y_2_2.4	6	0.7733	0.3493	1.1226
ATLAS_8TeV_Q_46_66	4	1.8165	0.5561	2.3725
ATLAS_8TeV_Q_116_150	8	0.6605	0.0014	0.662
Total	319	-	-	1.1253

Average-over-replicas \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.5039 \pm 0.2099	0.1252 \pm 0.1631	0.629 \pm 0.125
E605_Q_8_9	8	1.3308 \pm 0.2698	0.0851 \pm 0.1245	1.4159 \pm 0.247
E605_Q_10.5_11.5	10	0.4695 \pm 0.3635	0.2562 \pm 0.305	0.7257 \pm 0.1688
E288_200_Q_4_5	4	0.3794 \pm 1.374	1.1706 \pm 1.302	1.55 \pm 0.3598
E288_200_Q_5_6	5	1.5756 \pm 0.7851	0.4829 \pm 0.7066	2.0585 \pm 0.2393
E288_200_Q_6_7	6	0.2222 \pm 0.4187	0.3515 \pm 0.4016	0.5738 \pm 0.1223
E288_200_Q_7_8	7	0.4423 \pm 0.2465	0.151 \pm 0.1922	0.5933 \pm 0.1644
E288_200_Q_8_9	8	0.5161 \pm 0.1544	0.1325 \pm 0.1431	0.6487 \pm 0.0767
E288_300_Q_4_5	4	0.3173 \pm 0.9901	0.6951 \pm 0.9038	1.0124 \pm 0.2539
E288_300_Q_5_6	5	0.7531 \pm 0.5016	0.3447 \pm 0.455	1.0977 \pm 0.1619
E288_300_Q_6_7	6	0.4348 \pm 0.3404	0.2076 \pm 0.3019	0.6424 \pm 0.1511
E288_300_Q_7_8	7	0.0164 \pm 0.2385	0.1708 \pm 0.2217	0.1873 \pm 0.0659
E288_300_Q_8_9	8	0.3882 \pm 0.1501	0.1012 \pm 0.1441	0.4895 \pm 0.0782
E288_400_Q_5_6	5	0.2382 \pm 0.3189	0.2074 \pm 0.2776	0.4456 \pm 0.1397
E288_400_Q_6_7	6	0.0076 \pm 0.1926	0.1459 \pm 0.2114	0.1534 \pm 0.1036
E288_400_Q_7_8	7	-0.0415 \pm 0.1829	0.1322 \pm 0.1637	0.0907 \pm 0.0909
E288_400_Q_8_9	8	0.4131 \pm 0.2158	0.1361 \pm 0.1915	0.5492 \pm 0.1332
E288_400_Q_11_12	11	0.4925 \pm 0.2081	0.1079 \pm 0.1213	0.6004 \pm 0.1792
E288_400_Q_12_13	12	0.4516 \pm 0.1399	0.1154 \pm 0.1335	0.567 \pm 0.0507
E288_400_Q_13_14	12	0.571 \pm 0.1358	0.1229 \pm 0.1226	0.6939 \pm 0.0611
STAR_510	7	0.8668 \pm 0.2057	0.1558 \pm 0.2081	1.0227 \pm 0.0642
CDF_RunI	25	0.5246 \pm 0.1125	0.1091 \pm 0.1088	0.6336 \pm 0.022
CDF_RunII	26	0.8943 \pm 0.1091	0.0462 \pm 0.0563	0.9405 \pm 0.0891
D0_RunI	12	0.5689 \pm 0.1281	0.0913 \pm 0.1235	0.6601 \pm 0.0312
D0_RunII	5	0.7756 \pm 0.3753	0.2212 \pm 0.2936	0.9968 \pm 0.2163
D0_RunIImu	3	-0.1678 \pm 0.5949	0.5601 \pm 0.5417	0.3923 \pm 0.2268
LHCb_7TeV	7	0.9692 \pm 0.3323	0.3989 \pm 0.3307	1.3681 \pm 0.0334
LHCb_8TeV	7	0.487 \pm 0.4113	0.3126 \pm 0.386	0.7997 \pm 0.1448
LHCb_13TeV	7	0.8217 \pm 0.2287	0.137 \pm 0.2171	0.9587 \pm 0.0884
CMS_7TeV	4	2.5221 \pm 0.016	0.0 \pm 0.0	2.5221 \pm 0.016
CMS_8TeV	4	1.2044 \pm 0.2317	0.225 \pm 0.2213	1.4294 \pm 0.0663
ATLAS_7TeV_y_0_1	6	3.2744 \pm 0.3456	0.0961 \pm 0.1181	3.3706 \pm 0.3166
ATLAS_7TeV_y_1_2	6	3.6787 \pm 0.3522	0.5943 \pm 0.3124	4.2729 \pm 0.1542
ATLAS_7TeV_y_2_2.4	6	2.8927 \pm 0.1796	0.3245 \pm 0.1484	3.2172 \pm 0.1019
ATLAS_8TeV_y_0_0.4	6	2.9351 \pm 0.4828	0.777 \pm 0.4141	3.7122 \pm 0.1977
ATLAS_8TeV_y_0.4_0.8	6	3.3104 \pm 0.517	0.8081 \pm 0.5027	4.1185 \pm 0.104
ATLAS_8TeV_y_0.8_1.2	6	1.5549 \pm 0.2321	0.2175 \pm 0.2092	1.7724 \pm 0.0724
ATLAS_8TeV_y_1.2_1.6	6	1.3247 \pm 0.2555	0.2822 \pm 0.2359	1.6068 \pm 0.1018
ATLAS_8TeV_y_1.6_2	6	0.9726 \pm 0.411	0.309 \pm 0.288	1.2816 \pm 0.2679
ATLAS_8TeV_y_2_2.4	6	0.9173 \pm 0.4795	0.5105 \pm 0.3264	1.4278 \pm 0.3287
ATLAS_8TeV_Q_46_66	4	1.6317 \pm 0.6415	0.7217 \pm 0.6262	2.3534 \pm 0.1049
ATLAS_8TeV_Q_116_150	8	0.559 \pm 0.1801	0.107 \pm 0.1795	0.6659 \pm 0.0184
Total	319	-	-	1.1393 \pm 0.018